Given that the meaning of the rational exponent can be connected to the meaning of a root, how can you rewrite 3√5

using a rational exponent?

1 answer

The expression \( 3\sqrt{5} \) represents the cube root of 5. In terms of rational exponents, the cube root of a number \( a \) can be expressed as \( a^{1/3} \).

Therefore, we can rewrite \( 3\sqrt{5} \) as:

\[ 5^{1/3} \]